Crossing symmetric self-consistent. pi. N t matrix

Journal Article · Wed Apr 01 04:00:00 EST 1987 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.35.1403· OSTI ID:6137717

Sinha, R; Van Orden, J W

Previous calculations of the self-consistent effective ..pi..N t matrix are extended to include a complete, consistent treatment of the pion crossing symmetry. The self-consistent ..pi..N t matrix equation is rewritten as a set of four coupled integral equations in order to facilitate the inclusion of crossing symmetry. The ..pi..N amplitudes are obtained by means of a Low expansion as in previous papers. The insertion of the crossed ..pi..N scattering amplitudes into the nuclear medium is studied in the context of time ordered perturbation theory in order to determine the correct energy at which the crossed amplitudes should be evaluated in the medium. The self-consistent equations are evaluated in nuclear matter. The resonant contribution to the optical potential is found to be broadened by an additional 15--25Xwhen compared to similar calculations which do not include the crossed amplitudes.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6137717
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 35:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
CHARGED-PARTICLE REACTIONS
CROSSING SYMMETRY
ENERGY
EQUATIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
ISOSPIN
LOW EQUATION
MATRICES
MATTER
MESON REACTIONS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEAR MATTER
NUCLEAR REACTIONS
OPTICAL MODELS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION REACTIONS
PION-NUCLEON INTERACTIONS
PROPAGATOR
QUANTUM NUMBERS
S MATRIX
SCATTERING AMPLITUDES
SELF-ENERGY
SYMMETRY